What is the Least Common Multiple of 42490 and 42497?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 42490 and 42497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42490 and 42497, than apply into the LCM equation.

GCF(42490,42497) = 7
LCM(42490,42497) = ( 42490 × 42497) / 7
LCM(42490,42497) = 1805697530 / 7
LCM(42490,42497) = 257956790

Least Common Multiple (LCM) of 42490 and 42497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42490 and 42497. First we will calculate the prime factors of 42490 and 42497.

Prime Factorization of 42490

Prime Factorization of 42497

Now multiplying the highest exponent prime factors to calculate the LCM of 42490 and 42497.

LCM(42490,42497) = 2¹ × 5¹ × 7¹ × 607¹ × 13¹ × 467¹
LCM(42490,42497) = 257956790